Fast and Curious: Similar Figures

Front

What is a similarity statement?

Back

A similarity statement is a mathematical statement that indicates that two figures are similar, meaning they have the same shape but may differ in size. It is often written in the form of a ratio of corresponding sides.

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What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

Define the AA Similarity Postulate.

Back

The AA Similarity Postulate states that if two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.

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Define the SSS Similarity Theorem.

Back

The SSS Similarity Theorem states that if the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

Define the SAS Similarity Theorem.

Back

The SAS Similarity Theorem states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is a similarity ratio?

Back

A similarity ratio is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much larger or smaller one figure is compared to the other.

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Front

How do you find a missing side in similar figures?

Back

To find a missing side in similar figures, set up a proportion using the similarity ratio and solve for the unknown side.

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What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are equal.

Front

What is the significance of the SAS Similarity criterion?

Back

The SAS Similarity criterion allows us to conclude that two triangles are similar if two sides are in proportion and the angle between them is equal.